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A triangle drawn on a map has sides of lengths 9.0 cm, 10 cm, and 15 cm. The shortest of the corresponding real-life distances is 93 km. Find the longest of the real-life distances. If necessary, round your answer to the nearest unit.
Let's suppose that Congress caps executive pay at a level below the equilibrium. Explain how the quantity of executives demanded, the quantity supplied, and executive pay will change based on the above statement. Also explain why the outcome is in..
A rancher has 400 feet of fencing and wants to build a corral that's divided into three equal rectangles. What length and width will maximize the area?
Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 39 feet?
Write a differential equation for the total quantity of dead leaves (per square centimeter) at time t.
Please find the 1) length and 2) direction (when defined) of 1) A X B and 2) B X A Please show all work, including the grids for the determinants. Thank you.
If an 8 foot beam will support up to 750 pounds when the beam is 4 inches wide and 2 inches thick, what is the maximum safe load in a similar beam 10 feet long, 6 inches wide, and 2 inches thick?
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately 3x the altitude.
How many units of each model should National make each month in order to maximize its monthly profits? What is the optimal profit?
Application of Calculus-Optimization problem - Show that the shortage length of such a rope occurs when θ 1 = θ 2
The dimensions of a closed rectangular box are measured as 89 cm, 53 cm, and 35 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
Let S be the circle in the plane {(x,y) in R^2: x^2 + y^2 = 1} and f: S --> R be a continuous map. Show that there exists (x,y) on S such that f(x,y) = f(-x,-y).
Find the percentage of members spends more than $140 in a year?
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